%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 05:21:32 EDT 2022
% Result : Theorem 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 03:57:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox2 on n012.cluster.edu,
% 0.13/0.36 Sun Jul 10 03:57:28 2022
% 0.13/0.36 The command was "./sos". The process ID is 28688.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 formula_list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.13/0.36
% 0.13/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36 clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: set(unit_deletion).
% 0.13/0.36 dependent: set(factor).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] {-} A=A.
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.13/0.38
% 0.13/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38
% 0.13/0.38 Stopped by limit on number of solutions
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 -------------- Softie stats --------------
% 0.13/0.38
% 0.13/0.38 UPDATE_STOP: 300
% 0.13/0.38 SFINDER_TIME_LIMIT: 2
% 0.13/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38 number of clauses in intial UL: 9
% 0.13/0.38 number of clauses initially in problem: 15
% 0.13/0.38 percentage of clauses intially in UL: 60
% 0.13/0.38 percentage of distinct symbols occuring in initial UL: 90
% 0.13/0.38 percent of all initial clauses that are short: 100
% 0.13/0.38 absolute distinct symbol count: 11
% 0.13/0.38 distinct predicate count: 3
% 0.13/0.38 distinct function count: 3
% 0.13/0.38 distinct constant count: 5
% 0.13/0.38
% 0.13/0.38 ---------- no more Softie stats ----------
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 =========== start of search ===========
% 0.13/0.40
% 0.13/0.40 -------- PROOF --------
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Refutation
% 0.13/0.40
% 0.13/0.40 ----> UNIT CONFLICT at 0.02 sec ----> 103 [binary,101.1,8.1] {-} $F.
% 0.13/0.40
% 0.13/0.40 Length of proof is 2. Level of proof is 2.
% 0.13/0.40
% 0.13/0.40 ---------------- PROOF ----------------
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Refutation
% 0.13/0.40
% 0.13/0.40 2 [] {+} A!=singleton(B)| -in(C,A)|C=B.
% 0.13/0.40 5 [] {+} set_difference(singleton(A),B)!=empty_set|in(A,B).
% 0.13/0.40 8 [] {+} $c4!=$c3.
% 0.13/0.40 13 [] {-} set_difference(singleton($c4),singleton($c3))=empty_set.
% 0.13/0.40 15 [] {+} A=A.
% 0.13/0.40 32 [hyper,13,5] {-} in($c4,singleton($c3)).
% 0.13/0.40 101 [hyper,15,2,32] {-} $c4=$c3.
% 0.13/0.40 103 [binary,101.1,8.1] {-} $F.
% 0.13/0.40
% 0.13/0.40 % SZS output end Refutation
% 0.13/0.40 ------------ end of proof -------------
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 Search stopped by max_proofs option.
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 Search stopped by max_proofs option.
% 0.13/0.40
% 0.13/0.40 ============ end of search ============
% 0.13/0.40
% 0.13/0.40 ----------- soft-scott stats ----------
% 0.13/0.40
% 0.13/0.40 true clauses given 3 (33.3%)
% 0.13/0.40 false clauses given 6
% 0.13/0.40
% 0.13/0.40 FALSE TRUE
% 0.13/0.40 9 0 2
% 0.13/0.40 10 0 1
% 0.13/0.40 11 0 1
% 0.13/0.40 13 1 4
% 0.13/0.40 14 4 5
% 0.13/0.40 15 2 2
% 0.13/0.40 17 2 2
% 0.13/0.40 18 8 2
% 0.13/0.40 20 2 2
% 0.13/0.40 21 2 0
% 0.13/0.40 22 8 6
% 0.13/0.40 24 3 3
% 0.13/0.40 25 0 6
% 0.13/0.40 26 1 1
% 0.13/0.40 28 0 3
% 0.13/0.40 29 3 3
% 0.13/0.40 tot: 36 43 (54.4% true)
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40
% 0.13/0.40 That finishes the proof of the theorem.
% 0.13/0.40
% 0.13/0.40 Process 28688 finished Sun Jul 10 03:57:28 2022
%------------------------------------------------------------------------------